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We re-examine attempts to study the many-body localization transition using measures that are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using simple scaling arguments and an analysis of various models…

While there are well established methods to study delocalization transitions of single particles in random systems, it remains a challenging problem how to characterize many body delocalization transitions. Here, we use a generalized…

无序系统与神经网络 · 物理学 2015-09-28 N. Moure , S. Haas , S. Kettemann

We present a large scale exact diagonalization study of the one dimensional spin $1/2$ Heisenberg model in a random magnetic field. In order to access properties at varying energy densities across the entire spectrum for system sizes up to…

无序系统与神经网络 · 物理学 2015-03-05 David J. Luitz , Nicolas Laflorencie , Fabien Alet

This comment is dedicated to the investigation of many-body localization in a quantum Ising model with long-range power law interactions, $r^{-\alpha}$, relevant for a variety of systems ranging from electrons in Anderson insulators to spin…

无序系统与神经网络 · 物理学 2017-12-06 Andrii O. Maksymov , Noah Rahman , Eliot Kapit , Alexander L. Burin

We investigate the stability of the many-body localized phase against quantum avalanche instabilities in a one-dimensional Heisenberg spin chain with long-range power-law interactions ($V\propto r^{-\alpha}$). By combining exact…

无序系统与神经网络 · 物理学 2026-01-21 Longhui Shen , Bin Guo , Zhaoyu Sun

In this paper, we theoretically investigate the many-body localization (MBL) properties of one-dimensional anisotropic spin-1/2 chains by using the exact matrix diagonalization method. Starting from the Ising spin-1/2 chain, we introduce…

无序系统与神经网络 · 物理学 2025-04-15 Taotao Hu , Yuting Li , Jiameng Hong , Xiaodan Li , Dongyan Guo , Kangning Chen

The strong long-range interaction leads to localization in the closed quantum system without disorders. Employing the exact diagonalization method, the author numerically investigates thermalization and many-body localization in…

无序系统与神经网络 · 物理学 2023-10-17 Chen Cheng

We reinvestigate the behavior of the conductivity of several disordered quantum lattice models at infinite temperature using exact diagonalization. Contrary to the conclusion drawn in a recent investigation of similar quantities in…

无序系统与神经网络 · 物理学 2013-05-29 Timothy C. Berkelbach , David R. Reichman

We study many-body localization (MBL) in a one-dimensional system of spinless fermions with a deterministic aperiodic potential in the presence of long-range interactions decaying as power-law $V_{ij}/(r_i-r_j)^\alpha$ with distance and…

无序系统与神经网络 · 物理学 2021-02-09 Yogeshwar Prasad , Arti Garg

Many-body localization is characterized by a slow logarithmic growth of the entanglement entropy after a global quantum quench while the local memory of an initial density imbalance remains at infinite time. We investigate how much the…

无序系统与神经网络 · 物理学 2017-05-30 David J. Luitz , Nicolas Laflorencie , Fabien Alet

We propose a multi-scale diagonalization scheme to study disordered one-dimensional chains, in particular the transition between many-body localization (MBL) and the ergodic phase, expected to be governed by resonant spots. Our scheme…

无序系统与神经网络 · 物理学 2018-10-10 Thimothée Thiery , François Huveneers , Markus Müller , Wojciech De Roeck

We study a canonical many-body-localized (MBL) system with power-law-correlated disorders: $s=\frac{1}{2}$ spin chain in a random magnetic field. The power-law-correlated disorder can control the critical regime between the MBL and thermal…

统计力学 · 物理学 2020-10-20 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

We study the ergodic properties of excited states in a model of interacting fermions in quasi-one-dimensional chains subjected to a random vector potential. In the noninteracting limit, we show that arbitrarily small values of this complex…

量子气体 · 物理学 2016-11-23 Chen Cheng , Rubem Mondaini

We study the ergodic side of the many-body localization transition in its standard model, the disordered Heisenberg quantum spin chain. We show that the Thouless energy, extracted from long-range spectral statistics and the power-spectrum…

统计力学 · 物理学 2020-07-02 Ángel L. Corps , Rafael A. Molina , Armando Relaño

Despite a very good understanding of single-particle Anderson localization in one-dimensional (1D) disordered systems, many-body effects are still full of surprises, a famous example being the interaction-driven many-body localization (MBL)…

无序系统与神经网络 · 物理学 2023-11-14 Jeanne Colbois , Nicolas Laflorencie

Many-body localization has become an important phenomenon for illuminating a potential rift between non-equilibrium quantum systems and statistical mechanics. However, the nature of the transition between ergodic and localized phases in…

无序系统与神经网络 · 物理学 2018-06-04 Johnnie Gray , Sougato Bose , Abolfazl Bayat

We study many-body localization for a disordered chain of spin 1/2 fermions. In [Phys. Rev. B \textbf{94}, 241104 (2016)], when both down and up components are exposed to the same strong disorder, the authors observe a power law growth of…

无序系统与神经网络 · 物理学 2018-07-25 Jakub Zakrzewski , Dominique Delande

Avalanches are believed to be the mechanism behind the transition from many-body localization to the thermal phase. We utilize spin chains with constraints to study the physics of quantum avalanches by exact diagonalization of disordered…

无序系统与神经网络 · 物理学 2025-08-04 Shuangyuan Lu

We consider a quench in an infinite spin ladder describing a system with two species of bosons in the limit of strong interactions. If the heavy bosonic species has infinite mass the model becomes a spin chain with quenched binary disorder…

无序系统与神经网络 · 物理学 2019-03-01 J. Sirker

We study quench dynamics in an interacting spin chain with a quasi-periodic on-site field, known as the interacting Aubry-Andr\'e model of many-body localization. Using the time-dependent variational principle, we assess the late-time…

无序系统与神经网络 · 物理学 2019-09-17 Elmer V. H. Doggen , Alexander D. Mirlin